- Access by Xinjiang University
Stellar-mass black holes in young massive and open stellar clusters. VII. Comparisons with gravitational-wave events until LVK-O4a and Gaia compact binaries
Phys. Rev. D 114, 083019 – Published 7 October, 2026
DOI: https://doi.org/10.1103/q81s-7msp
Abstract
Gravitational-wave (GW) detections from the LIGO-Virgo-KAGRA (LVK) GW observatories suggest multiple formation channels contributing to the GW coalescence of compact binaries in the Universe. In this study, I assess the contribution of young massive clusters (YMCs) evolving into old open clusters (OCs)—the YMC/OC channel—to the GW-merger population. To that end, a homogeneous grid of 90 N-body evolutionary model star clusters, spanning initial masses of , half-mass radii of 1–3 pc, and metallicities between 0.0002 and 0.02 is computed with the direct, star-by-star, post-Newtonian N-body code nbody7. The N-body simulations include primordial binaries, delayed stellar-remnant masses forming stellar-remnant black holes (BHs) and neutron stars (NSs), BH-spin prescriptions, and general-relativistic recoil kicks. The model clusters are evolved until they lose most of the retained BHs. The majority of the GW mergers from the cluster models are dynamically assembled binary black holes (BBHs) that merge within their host clusters, while the rarer escaped mergers are commonly primordially paired. Merger mass ratios reach down to 0.1–0.2 despite an overall bias toward nearly symmetric pairs of . The GW-merger efficiency varies nonmonotonically with cluster mass, peaking around and also for . The computed mergers reproduce some of the key features of the latest observed GW event catalog, including asymmetric low-mass mergers, misaligned events among highly spinning, massive BHs, and an excess of primaries, though they underproduce primaries, hinting at contributions from other channels. The merger rate density from the model grid at redshift accounts for a fiducial 25%–33% of the observed rate depending on cosmic metallicity evolution; it increases with redshift somewhat more steeply than the cosmic star formation rate, consistent with the overall growth of the LVK-inferred merger rate. Some of the apparent low-redshift features of the observed BBH mergers’ effective spin distribution, e.g., the positive asymmetry at and the broadening with redshift, are also qualitatively reproduced, after applying a postprocessing prescription to the model mergers. The model clusters also yield field BH- and NS-main sequence star binaries with parameters consistent with the Gaia-discovered candidates.
Physics Subject Headings (PhySH)
See Also
Stellar-mass black holes in young massive and open stellar clusters. VI. Role of external galactic field
Article Text
References (166)
- R. Abbott, T. D. Abbott, F. Acernese, K. Ackley, C. Adams, N. Adhikari, R. X. Adhikari, V. B. Adya et al., Phys. Rev. X 13, 041039 (2023).
- A. G. Abac, I. Abouelfettouh, F. Acernese, K. Ackley, C. Adamcewicz, S. Adhicary, D. Adhikari, N. Adhikari et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Astrophys. J. Lett. 1004, L22 (2026).
- I. Mandel and F. S. Broekgaarden, Living Rev. Relativity 25, 1 (2022).
- M. Spera, A. A. Trani, and M. Mencagli, Galaxies 10, 76 (2022).
- S. R. Kulkarni, P. Hut, and S. McMillan, Nature (London) 364, 421 (1993).
- H. M. Lee, Mon. Not. R. Astron. Soc. 272, 605 (1995).
- M. J. Benacquista and J. M. B. Downing, Living Rev. Relativity 16, 4 (2013).
- K. Belczynski, V. Kalogera, and T. Bulik, Astrophys. J. 572, 407 (2002).
- B. McKernan, K. E. S. Ford, J. Bellovary, N. W. C. Leigh, Z. Haiman, B. Kocsis, W. Lyra, M. M. Mac Low, B. Metzger, M. O’Dowd, S. Endlich, and D. J. Rosen, Astrophys. J. 866, 66 (2018).
- M. P. Vaccaro, M. Mapelli, C. Périgois, D. Barone, M. C. Artale, M. Dall’Amico, G. Iorio, and S. Torniamenti, Astron. Astrophys. 685, A51 (2024).
- A. Vigna-Gómez, S. Toonen, E. Ramirez-Ruiz, N. W. C. Leigh, J. Riley, and C.-J. Haster, Astrophys. J. Lett. 907, L19 (2021).
- J. Stegmann, F. Antonini, and M. Moe, Mon. Not. R. Astron. Soc. 516, 1406 (2022).
- E. Michaely and H. B. Perets, Astrophys. J. Lett. 887, L36 (2019).
- C. Hamilton and R. R. Rafikov, Astrophys. J. Lett. 881, L13 (2019).
- J. Stegmann, A. Vigna-Gómez, A. Rantala, T. Wagg, L. Zwick, M. Renzo, L. A. C. van Son, S. E. de Mink, and S. D. M. White, Astrophys. J. Lett. 972, L19 (2024).
- M. Zevin, S. S. Bavera, C. P. L. Berry, V. Kalogera, T. Fragos, P. Marchant, C. L. Rodriguez, F. Antonini, D. E. Holz, and C. Pankow, Astrophys. J. 910, 152 (2021).
- A. G. Abac, I. Abouelfettouh, F. Acernese, K. Ackley, C. Adamcewicz, S. Adhicary, D. Adhikari, N. Adhikari et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Astrophys. J. Lett. 1005, L51 (2026).
- S. Banagiri, E. Thrane, and P. D. Lasky, Phys. Rev. Lett. 137, 021403 (2026).
- S. Banerjee, H. Baumgardt, and P. Kroupa, Mon. Not. R. Astron. Soc. 402, 371 (2010).
- S. J. Aarseth, Mon. Not. R. Astron. Soc. 422, 841 (2012).
- S. Banerjee, Mon. Not. R. Astron. Soc. 467, 524 (2017).
- U. N. Di Carlo, N. Giacobbo, M. Mapelli, M. Pasquato, M. Spera, L. Wang, and F. Haardt, Mon. Not. R. Astron. Soc. 487, 2947 (2019).
- S. F. Portegies Zwart, S. L. W. McMillan, and M. Gieles, Annu. Rev. Astron. Astrophys. 48, 431 (2010).
- M. R. Krumholz, C. F. McKee, and J. Bland -Hawthorn, Annu. Rev. Astron. Astrophys. 57, 227 (2019).
- C. L. Rodriguez, K. Kremer, S. Chatterjee, G. Fragione, A. Loeb, F. A. Rasio, N. C. Weatherford, and C. S. Ye, Res. Not. Am. Astron. Soc. 5, 19 (2021).
- C. S. Ye, M. Fishbach, K. Kremer, and M. Reina-Campos, Astrophys. J. 997, 267 (2026).
- F. Santoliquido, M. Mapelli, Y. Bouffanais, N. Giacobbo, U. N. Di Carlo, S. Rastello, M. C. Artale, and A. Ballone, Astrophys. J. 898, 152 (2020).
- J. Kumamoto, M. S. Fujii, and A. Tanikawa, Mon. Not. R. Astron. Soc. 495, 4268 (2020).
- S. Banerjee, Mon. Not. R. Astron. Soc. 503, 3371 (2021).
- G. Fragione and S. Banerjee, Astrophys. J. Lett. 913, L29 (2021).
- S. Banerjee, Phys. Rev. D 112, 063016 (2025).
- S. Banerjee, Mon. Not. R. Astron. Soc. 500, 3002 (2021).
- S. Banerjee, Astron. Astrophys. 665, A20 (2022).
- J. Barber and F. Antonini, Mon. Not. R. Astron. Soc. 538, 639 (2025).
- L. Wang, M. Iwasawa, K. Nitadori, and J. Makino, Mon. Not. R. Astron. Soc. 497, 536 (2020).
- K. Kremer, C. S. Ye, N. Z. Rui, N. C. Weatherford, S. Chatterjee, G. Fragione, C. L. Rodriguez, M. Spera, and F. A. Rasio, Astrophys. J. Suppl. Ser. 247, 48 (2020).
- A. Askar, M. Szkudlarek, D. Gondek-Rosińska, M. Giersz, and T. Bulik, Mon. Not. R. Astron. Soc. 464, L36 (2017).
- M. Arca Sedda, A. W. H. Kamlah, R. Spurzem, M. Giersz, P. Berczik, S. Rastello, G. Iorio, M. Mapelli, M. Gatto, and E. K. Grebel, Mon. Not. R. Astron. Soc. 528, 5119 (2024).
- U. N. Di Carlo, M. Mapelli, N. Giacobbo, M. Spera, Y. Bouffanais, S. Rastello, F. Santoliquido, M. Pasquato, A. R. Ballone, A. A. Trani, S. Torniamenti, and F. Haardt, Mon. Not. R. Astron. Soc. 498, 495 (2020).
- S. Rastello, M. Mapelli, U. N. Di Carlo, G. Iorio, A. Ballone, N. Giacobbo, F. Santoliquido, and S. Torniamenti, Mon. Not. R. Astron. Soc. 507, 3612 (2021).
- H. C. Plummer, Mon. Not. R. Astron. Soc. 71, 460 (1911).
- D. Heggie and P. Hut, The Gravitational Million-Body Problem: A Multidisciplinary Approach to Star Cluster Dynamics (Cambridge University Press, Cambridge, England, 2003).
- S. von Hoerner, Astrophys. J. 125, 451 (1957).
- S. J. Aarseth, Gravitational N-Body Simulations, edited by S. J. Aarseth (Cambridge University Press, Cambridge, England, 2003), p. 430, ISBN [Amazon][WorldCat].
- S. Banerjee, K. Belczynski, C. L. Fryer, P. Berczik, J. R. Hurley, R. Spurzem, and L. Wang, Astron. Astrophys. 639, A41 (2020).
- GitHub, https://github.com/sambaranb/updated-nbody7/tree/mpi-parallel.
- J. R. Hurley, O. R. Pols, and C. A. Tout, Mon. Not. R. Astron. Soc. 315, 543 (2000).
- J. R. Hurley, C. A. Tout, and O. R. Pols, Mon. Not. R. Astron. Soc. 329, 897 (2002).
- S. Mikkola and K. Tanikawa, Mon. Not. R. Astron. Soc. 310, 745 (1999).
- S. Mikkola and D. Merritt, Astron. J. 135, 2398 (2008).
- C. L. Fryer, K. Belczynski, G. Wiktorowicz, M. Dominik, V. Kalogera, and D. E. Holz, Astrophys. J. 749, 91 (2012).
- K. Belczynski, A. Heger, W. Gladysz, A. J. Ruiter, S. Woosley, G. Wiktorowicz, H.-Y. Chen, T. Bulik, R. O’Shaughnessy, D. E. Holz, C. L. Fryer, and E. Berti, Astron. Astrophys. 594, A97 (2016).
- LIGO Scientific and Virgo Collaborations, Astrophys. J. Lett. 896, L44 (2020).
- LIGO Scientific, Virgo, and KAGRA Collaborations, Astrophys. J. Lett. 970, L34 (2024).
- A. G. Abac, A. Abe, I. Abouelfettouh, F. Acernese, and K. Ackley (LIGO Scientific, Virgo, and KAGRA Collaborations), arXiv:2605.27226.
- N. Langer, C. A. Norman, A. de Koter, J. S. Vink, M. Cantiello, and S. C. Yoon, Astron. Astrophys. 475, L19 (2007).
- S. E. Woosley, Astrophys. J. 836, 244 (2017).
- I. Mandel and B. Müller, Mon. Not. R. Astron. Soc. 499, 3214 (2020).
- M. Mapelli, C. Sgalletta, J. Müller-Horn, G. Iorio, S. Rinaldi, C. Burt, D. Marín Pina, and A. Romagnolo, Astron. Astrophys. 713, A58 (2026).
- G. Iorio, M. Mapelli, G. Costa, M. Spera, G. J. Escobar, C. Sgalletta, A. A. Trani, E. Korb, F. Santoliquido, M. Dall’Amico, N. Gaspari, and A. Bressan, Mon. Not. R. Astron. Soc. 524, 426 (2023).
- J. J. Andrews et al., Astrophys. J. Suppl. Ser. 281, 3 (2025).
- A. W. H. Kamlah, A. Leveque, R. Spurzem, M. Arca Sedda, A. Askar, S. Banerjee, P. Berczik, M. Giersz, J. Hurley, D. Belloni, L. Kühmichel, and L. Wang, Mon. Not. R. Astron. Soc. 511, 4060 (2022).
- S. Rastello, G. Iorio, M. Gieles, and L. Wang, Astron. Astrophys. 707, A217 (2026).
- P. Kroupa, Mon. Not. R. Astron. Soc. 322, 231 (2001).
- H. Sana and C. J. Evans, in Active OB Stars: Structure, Evolution, Mass Loss, and Critical Limits, IAU Symposium, edited by C. Neiner, G. Wade, G. Meynet, and G. Peters, Vol. 272 (Cambridge University Press, Cambridge, England, 2011), pp. 474–485, 10.1017/S1743921311011124.
- H. Sana, A. de Koter, S. E. de Mink, P. R. Dunstall, C. J. Evans, V. Hénault-Brunet, J. Maíz Apellániz, O. H. Ramírez-Agudelo, W. D. Taylor, N. R. Walborn, J. S. Clark, P. A. Crowther, A. Herrero, M. Gieles, N. Langer, D. J. Lennon, and J. S. Vink, Astron. Astrophys. 550, A107 (2013).
- M. Moe and R. Di Stefano, Astrophys. J. Suppl. Ser. 230, 15 (2017).
- A. Duquennoy and M. Mayor, Astron. Astrophys. 248, 485 (1991).
- L. Spitzer, Dynamical Evolution of Globular Clusters’ (Princeton University Press, Princeton, NJ, 1987).
- S. Banerjee, Mon. Not. R. Astron. Soc. 473, 909 (2018).
- K. Belczynski et al., Astron. Astrophys. 636, A104 (2020).
- H. C. Spruit, Astron. Astrophys. 381, 923 (2002).
- J. Fuller and L. Ma, Astrophys. J. Lett. 881, L1 (2019).
- K. S. Thorne and A. N. Zytkow, Astrophys. J. 199, L19 (1975).
- E. Gaburov, J. C. Lombardi, and S. Portegies Zwart, Mon. Not. R. Astron. Soc. 383, L5 (2008).
- E. Glebbeek, E. Gaburov, S. E. de Mink, O. R. Pols, and S. F. Portegies Zwart, Astron. Astrophys. 497, 255 (2009).
- T. Ryu, A. Sills, R. Pakmor, S. de Mink, and R. Mathieu, Astrophys. J. Lett. 980, L38 (2025).
- P. Vynatheya, T. Ryu, C. Wang, A. Sills, and R. Pakmor, Astrophys. J. 999, 64 (2026).
- R. Abbott, T. D. Abbott, S. Abraham, F. Acernese, K. Ackley, C. Adams, R. X. Adhikari, V. B. Adya et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. Lett. 125, 101102 (2020).
- R. Abbott, T. D. Abbott, F. Acernese, K. Ackley, C. Adams, N. Adhikari, R. X. Adhikari, V. B. Adya et al., Phys. Rev. X 13, 011048 (2023).
- M. Arca Sedda, M. Mapelli, M. Benacquista, and M. Spera, Mon. Not. R. Astron. Soc. 520, 5259 (2023).
- M. Hénon, in Dynamics of the Solar Systems, IAU Symposium, edited by A. Hayli, Vol. 69 (D. Reidel, Dordrecht, 1975), p. 133, 10.1017/S0074180900015461.
- P. G. Breen and D. C. Heggie, Mon. Not. R. Astron. Soc. 432, 2779 (2013).
- F. Antonini and M. Gieles, Mon. Not. R. Astron. Soc. 492, 2936 (2020).
- D. C. Heggie and M. Giersz, Mon. Not. R. Astron. Soc. 439, 2459 (2014).
- M. Spera, M. Mapelli, N. Giacobbo, A. A. Trani, A. Bressan, and G. Costa, Mon. Not. R. Astron. Soc. 485, 889 (2019).
- E. González, K. Kremer, S. Chatterjee, G. Fragione, C. L. Rodriguez, N. C. Weatherford, C. S. Ye, and F. A. Rasio, Astrophys. J. Lett. 908, L29 (2021).
- U. N. Di Carlo, M. Mapelli, Y. Bouffanais, N. Giacobbo, F. Santoliquido, A. Bressan, M. Spera, and F. Haardt, Mon. Not. R. Astron. Soc. 497, 1043 (2020).
- A. Ballone, G. Costa, M. Mapelli, M. MacLeod, S. Torniamenti, and J. M. Pacheco-Arias, Mon. Not. R. Astron. Soc. 519, 5191 (2023).
- K. Belczynski, Astrophys. J. Lett. 905, L15 (2020).
- J. Ziegler and K. Freese, Phys. Rev. D 104, 043015 (2021).
- J. S. Vink, E. R. Higgins, A. A. C. Sander, and G. N. Sabhahit, Mon. Not. R. Astron. Soc. 504, 146 (2021).
- L. A. C. van Son, S. E. De Mink, F. S. Broekgaarden, M. Renzo, S. Justham, E. Laplace, J. Morán-Fraile, D. D. Hendriks, and R. Farmer, Astrophys. J. 897, 100 (2020).
- M. Gatto, V. Ripepi, M. Bellazzini, M. Tosi, M. Cignoni, C. Tortora, S. Leccia, G. Clementini, E. K. Grebel, G. Longo, M. Marconi, and I. Musella, Mon. Not. R. Astron. Soc. 507, 3312 (2021).
- S. Banerjee, Mon. Not. R. Astron. Soc. 481, 5123 (2018).
- D. Marín Pina and M. Gieles, Mon. Not. R. Astron. Soc. 527, 8369 (2024).
- P. C. Peters, Phys. Rev. 136, 1224 (1964).
- C. L. Rodriguez, P. Amaro-Seoane, S. Chatterjee, and F. A. Rasio, Phys. Rev. Lett. 120, 151101 (2018).
- Y.-J. Li, Y.-Z. Wang, S.-P. Tang, and Y.-Z. Fan, Phys. Rev. Lett. 133, 051401 (2024).
- A. Mai, K. Kremer, and F. Kiroglu, Astrophys. J. 998, 138 (2026).
- D. Chattopadhyay, J. Stegmann, F. Antonini, J. Barber, and I. M. Romero-Shaw, Mon. Not. R. Astron. Soc. 526, 4908 (2023).
- M. Arca sedda, A. W. H. Kamlah, R. Spurzem, F. P. Rizzuto, M. Giersz, T. Naab, and P. Berczik, Mon. Not. R. Astron. Soc. 528, 5140 (2024).
- L. Paiella, C. Ugolini, M. Spera, M. Branchesi, and M. Arca Sedda, Astrophys. J. Lett. 994, L54 (2025).
- K. Moody and S. Sigurdsson, Astrophys. J. 690, 1370 (2009).
- S. Chatterjee, C. L. Rodriguez, V. Kalogera, and F. A. Rasio, Astrophys. J. Lett. 836, L26 (2017).
- A. G. Abac, I. Abouelfettouh, F. Acernese, K. Ackley, C. Adamcewicz, S. Adhicary, D. Adhikari, N. Adhikari et al., Astrophys. J. Lett. 993, L25 (2025).
- A. Borchers, C. S. Ye, and M. Fishbach, Astrophys. J. 987, 146 (2025).
- F. K𝚤roğlu, K. Kremer, and F. A. Rasio, Astrophys. J. Lett. 994, L37 (2025).
- J. Stegmann, A. Olejak, and S. E. de Mink, Astrophys. J. Lett. 992, L26 (2025).
- A. G. Abac, I. Abouelfettouh, F. Acernese, K. Ackley, C. Adamcewicz, S. Adhicary, D. Adhikari, N. Adhikari et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Astrophys. J. Lett. 993, L21 (2025).
- P. Ajith, M. Hannam, S. Husa, Y. Chen, B. Brügmann, N. Dorband, D. Müller, F. Ohme, D. Pollney, C. Reisswig, L. Santamaría, and J. Seiler, Phys. Rev. Lett. 106, 241101 (2011).
- H. Yu, S. Ma, M. Giesler, and Y. Chen, Phys. Rev. D 102, 123009 (2020).
- D. Gerosa, M. Mould, D. Gangardt, P. Schmidt, G. Pratten, and L. M. Thomas, Phys. Rev. D 103, 064067 (2021).
- S. Banerjee, A. Olejak, and K. Belczynski, Astrophys. J. 953, 80 (2023).
- F. Antonini and M. Gieles, Phys. Rev. D 102, 123016 (2020).
- S. Banerjee, Phys. Rev. D 105, 023004 (2022).
- J. Samsing and K. Hotokezaka, Astrophys. J. 923, 126 (2021).
- Y.-J. Li, S.-P. Tang, S.-J. Gao, D.-C. Wu, and Y.-Z. Wang, Astrophys. J. 977, 67 (2024).
- M. Bailes, B. K. Berger, P. R. Brady, M. Branchesi, K. Danzmann, M. Evans, K. Holley-Bockelmann, B. R. Iyer et al., Nat. Rev. Phys. 3, 344 (2021).
- P. Madau and T. Fragos, Astrophys. J. 840, 39 (2017).
- I. Kotko, S. Banerjee, and K. Belczynski, Mon. Not. R. Astron. Soc. 535, 3577 (2024).
- S. Chakrabarti, J. D. Simon, P. A. Craig, H. Reggiani, T. D. Brandt, P. Guhathakurta, P. A. Dalba, E. N. Kirby, P. Chang, D. R. Hey, A. Savino, M. Geha, and I. B. Thompson, Astron. J. 166, 6 (2023).
- K. El-Badry et al., Mon. Not. R. Astron. Soc. 518, 1057 (2023).
- P. Panuzzo, T. Mazeh, F. Arenou, B. Holl, E. Caffau, A. Jorissen, C. Babusiaux, P. Gavras et al. (Gaia Collaboration), Astron. Astrophys. 686, L2 (2024).
- K. El-Badry, H.-W. Rix, D. W. Latham, S. Shahaf, T. Mazeh, A. Bieryla, L. A. Buchhave, R. Andrae, N. Yamaguchi, H. Isaacson, A. W. Howard, A. Savino, and I. V. Ilyin, Open J. Astrophys. 7, 58 (2024).
- A. Schiebelbein-Zwack, L. A. C. van Son, M. Fishbach, and W. M. Farr, Astrophys. J. Lett. 998, L14 (2026).
- A. Tanikawa, L. Wang, and M. S. Fujii, Open J. Astrophys. 7, 39 (2024).
- M. Chruslinska and G. Nelemans, Mon. Not. R. Astron. Soc. 488, 5300 (2019).
- M. Chruślińska, G. Nelemans, L. Boco, and A. Lapi, Mon. Not. R. Astron. Soc. 508, 4994 (2021).
- P. André, J. Di Francesco, D. Ward-Thompson, S. I. Inutsuka, R. E. Pudritz, and J. E. Pineda, in Protostars and Planets VI, edited by H. Beuther, R. S. Klessen, C. P. Dullemond, and T. Henning (University of Arizona Press, Tucson, 2014), pp. 27–51.
- S. N. Longmore, J. M. D. Kruijssen, N. Bastian, J. Bally, J. Rathborne, L. Testi, A. Stolte, J. Dale, E. Bressert, and J. Alves, in Protostars and Planets VI (University of Arizona Press, Tucson, 2014), pp. 291–314.
- A. G. Abac, A. Abe, I. Abouelfettouh, F. Acernese, and K. Ackley (LIGO Scientific, Virgo, and KAGRA Collaborations), arXiv:2605.27225.
- S. Banerjee, Datasets corresponding to “Stellar-mass black holes in young massive and open stellar clusters—VII. Comparisons with gravitational-wave events until LVK-O4a and Gaia compact binaries, Zenodo, 10.5281/zenodo.22177510 (2026).
- P. J. E. Peebles, Principles of Physical Cosmology (Princeton University Press, Princeton, NJ, 1993).
- J. V. Narlikar, An Introduction to Cosmology 3rd ed (Cambridge University Press, Cambridge, England, 2002).
- N. Aghanim, Y. Akrami, M. Ashdown, J. Aumont, C. Baccigalupi, M. Ballardini, A. J. Banday, R. B. Barreiro et al. (Planck Collaboration), Astron. Astrophys. 641, A6 (2020).
- M. Gieles, S. S. Larsen, N. Bastian, and I. T. Stein, Astron. Astrophys. 450, 129 (2006).
- S. S. Larsen, Astron. Astrophys. 494, 539 (2009).
- N. Bastian, A. Adamo, M. Gieles, E. Silva-Villa, H. J. G. L. M. Lamers, S. S. Larsen, L. J. Smith, I. S. Konstantopoulos, and E. Zackrisson, Mon. Not. R. Astron. Soc. 419, 2606 (2012).
- K. Belczynski, D. E. Holz, T. Bulik, and R. O’Shaughnessy, Nature (London) 534, 512 (2016).
- M. Rafelski, A. M. Wolfe, J. X. Prochaska, M. Neeleman, and A. J. Mendez, Astrophys. J. 755, 89 (2012).
- M. Chruślińska, Ann. Phys. (Berlin) 536, 2200170 (2024).
- K. Kremer, N. C. Weatherford, P. F. Hopkins, N. Z. Rui, and C. S. Ye, Astrophys. J. Lett. 993, L34 (2025).
- K. El-Badry, E. Quataert, D. R. Weisz, N. Choksi, and M. Boylan-Kolchin, Mon. Not. R. Astron. Soc. 482, 4528 (2019).
- S. F. Portegies Zwart and S. L. W. McMillan, Astrophys. J. Lett. 528, L17 (2000).
- C. L. Rodriguez, M. Morscher, B. Pattabiraman, S. Chatterjee, C.-J. Haster, and F. A. Rasio, Phys. Rev. Lett. 115, 051101 (2015).
- R. P. Kerr, Phys. Rev. Lett. 11, 237 (1963).
- T. A. Callister and W. M. Farr, Phys. Rev. X 14, 021005 (2024).
- Y. Qin, T. Fragos, G. Meynet, J. Andrews, M. Sørensen, and H. F. Song, Astron. Astrophys. 616, A28 (2018).
- S. S. Bavera, T. Fragos, Y. Qin, E. Zapartas, C. J. Neijssel, I. Mandel, A. Batta, S. M. Gaebel, C. Kimball, and S. Stevenson, Astron. Astrophys. 635, A97 (2020).
- Y. Qin, P. Marchant, T. Fragos, G. Meynet, and V. Kalogera, Astrophys. J. Lett. 870, L18 (2019).
- F. K𝚤roğlu, J. C. Lombardi, K. Kremer, H. D. Vanderzyden, and F. A. Rasio, Astrophys. J. Lett. 983, L9 (2025).
- J. G. Baker, W. D. Boggs, J. Centrella, B. J. Kelly, S. T. McWilliams, M. C. Miller, and J. R. van Meter, Astrophys. J. Lett. 682, L29 (2008).
- F. Hofmann, E. Barausse, and L. Rezzolla, Astrophys. J. Lett. 825, L19 (2016).
- X. Jiménez-Forteza, D. Keitel, S. Husa, M. Hannam, S. Khan, and M. Pürrer, Phys. Rev. D 95, 064024 (2017).
- C. O. Lousto, Y. Zlochower, M. Dotti, and M. Volonteri, Phys. Rev. D 85, 084015 (2012).
- E. Berti and M. Volonteri, Astrophys. J. 684, 822 (2008).
- A. Perego, M. Dotti, M. Colpi, and M. Volonteri, Mon. Not. R. Astron. Soc. 399, 2249 (2009).
- E. Cenci, L. Sala, A. Lupi, P. R. Capelo, and M. Dotti, Mon. Not. R. Astron. Soc. 500, 3719 (2021).
- S. Banerjee and A. Olejak, Open J. Astrophys. 9 (2026).
- N. Ivanova, S. Justham, X. Chen, O. De Marco, C. L. Fryer, E. Gaburov, H. Ge, E. Glebbeek, Z. Han, X. D. Li, G. Lu, T. Marsh, P. Podsiadlowski, A. Potter, N. Soker, R. Taam, T. M. Tauris, E. P. J. van den Heuvel, and R. F. Webbink, Astron. Astrophys. Rev. 21, 59 (2013).
- A. A. Trani, A. Tanikawa, M. S. Fujii, N. W. C. Leigh, and J. Kumamoto, Mon. Not. R. Astron. Soc. 504, 910 (2021).
- J. S. Speagle, Mon. Not. R. Astron. Soc. 493, 3132 (2020).
- J. Skilling, Bayesian Anal. 1, 833 (2006).
- G. Ashton, M. Hübner, P. D. Lasky, C. Talbot, K. Ackley, S. Biscoveanu, Q. Chu, A. Divakarla, P. J. Easter, B. Goncharov et al., Astrophys. J. Suppl. Ser. 241, 27 (2019).
- J. Lin, IEEE Trans. Inf. Theory 37, 145 (1991).